E-raamat: Mathematical Results in Quantum Mechanics: QMath7 Conference, Prague, June 22-26, 1998

I Plenary talks.- An adiabatic theorem without a gap condition.-
Two-dimensional periodic Pauli operator. The effective masses at the lower
edge of the spectrum.- Spectral problems in the theory of photonic crystals.-
Optimal eigenvalues for some Laplacians and Schrödinger operators depending
on curvature.- The spectral shift operator.- On the scattering operator for
the Schrödinger equation with a time-dependent potential.- H_2-construction
and some applications.- Scattering with time periodic potentials and cyclic
states.- Some geometry related to decay properties of the resolvent of a
class of symmetric operators.- On some asymptotic formulas in the strong
localization regime of the theory of disordered systems.- Spectral measures
and category.- Quantum dots. A survey of rigorous results.- II Session
talks.- A simple model of concentrated nonlinearity.- Anomalous electron
trapping by magnetic flux tubes and electric current vortices.- On the
absolutely continuous energy distribution of a quantum mechanical system in a
bounded domain.- Some aspects of generalized contact interaction in
one-dimensional quantum mechanics.- Traces and trace norms for semigroup
differences...- About a resolvent formula.- The determinant anomaly in
low-dimensional quantum systems.- Linear Boltzmann equation as the weak
coupling limit of the random Schrödinger equation.- Coexistence of different
spectral types for almost periodic Schrödinger equations in dimension one.-
Dynamical localization for random Schrödinger operators and an application to
the almost Mathieu operator.- On fractal structure of the spectrum for
periodic point perturbations of the Schrödinger operator with a uniform
magnetic field.- A Weyl-Berry formula for the scattering operator associated
to self-similarpotentials on the line.- Localization and Lifshitz tails for
random quantum waveguides.- Birman-Schwinger analysis for bound states in a
pair of parallel quantum waveguides with a semitransparent boundary.- On the
absolute continuity of spectra of periodic elliptic operators.- Hardy
inequalities for magnetic Dirichlet forms.- Adiabatic curvature, chaos and
the deformation of Riemann surfaces.- Operator interpretation of resonances
arising in spectral problems for 2 x 2 matrix Hamiltonians.- On the
operator-norm convergence of the Trotter-Kato product formula.- A particular
case of the inverse problem for the Sturm-Liouville equation with parameter
dependent potential.- One-dimensional Schrödinger operators with decaying
potentials.- Stability of limiting absorption under singular perturbations.-
Existence of averaging integrals for self-adjoint operators.- Monotonicity
versus non-monotonicity in random operators.- A model in perturbation
theory.- Band gap of the spectrum in periodically curved quantum waveguides.-
A list of other talks.- A list of participants.